What is the Least Common Multiple of 42070 and 42079?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42070 and 42079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42070 and 42079, than apply into the LCM equation.

GCF(42070,42079) = 1
LCM(42070,42079) = ( 42070 × 42079) / 1
LCM(42070,42079) = 1770263530 / 1
LCM(42070,42079) = 1770263530

Least Common Multiple (LCM) of 42070 and 42079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42070 and 42079. First we will calculate the prime factors of 42070 and 42079.

Prime Factorization of 42070

Prime Factorization of 42079

Now multiplying the highest exponent prime factors to calculate the LCM of 42070 and 42079.

LCM(42070,42079) = 2¹ × 5¹ × 7¹ × 601¹ × 29¹ × 1451¹
LCM(42070,42079) = 1770263530